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- W2896094739 abstract "In cubic-order Horndeski theories where a scalar field $ensuremath{phi}$ is coupled to nonrelativistic matter with a field-dependent coupling $Q(ensuremath{phi})$, we derive the most general Lagrangian having scaling solutions on the isotropic and homogenous cosmological background. For constant $Q$ including the case of vanishing coupling, the corresponding Lagrangian reduces to the form $L=X{g}_{2}(Y)ensuremath{-}{g}_{3}(Y)ensuremath{square}ensuremath{phi}$, where $X=ensuremath{-}{ensuremath{partial}}_{ensuremath{mu}}ensuremath{phi}{ensuremath{partial}}^{ensuremath{mu}}ensuremath{phi}/2$ and ${g}_{2}$, ${g}_{3}$ are arbitrary functions of $Y=X{e}^{ensuremath{lambda}ensuremath{phi}}$ with constant $ensuremath{lambda}$. We obtain the fixed points of the scaling Lagrangian for constant $Q$ and show that the $ensuremath{phi}$-matter-dominated epoch ($ensuremath{phi}mathrm{MDE}$) is present for the cubic coupling ${g}_{3}(Y)$ containing inverse power-law functions of $Y$. The stability analysis around the fixed points indicates that the $ensuremath{phi}mathrm{MDE}$ can be followed by a stable critical point responsible for the cosmic acceleration. We propose a concrete dark energy model allowing for such a cosmological sequence and show that the ghost and Laplacian instabilities can be avoided even in the presence of the cubic coupling." @default.
- W2896094739 created "2018-10-26" @default.
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- W2896094739 date "2018-12-18" @default.
- W2896094739 modified "2023-10-16" @default.
- W2896094739 title "Most general cubic-order Horndeski Lagrangian allowing for scaling solutions and the application to dark energy" @default.
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- W2896094739 doi "https://doi.org/10.1103/physrevd.98.123517" @default.
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